Fuzzy sets. A way to represent ambiguity and subjetivity

José Rubén Niño Quevedo

Publicado

2017-01-01

Fuzzy sets. A way to represent ambiguity and subjetivity

Conjuntos difusos. Una forma de representar la imprecisión y la subjetividad

Palabras clave:

fuzzy sets theory, linguistic variable, fuzzy numbers (en)
teoría de los conjuntos difusos, variable lingüística, números difusos (es)

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Autores/as

José Rubén Niño Quevedo Universidad Nacional de Colombia

Resumen (en)
Resumen (es)

Mathemathical modeling seeks to describe in a formal way a phenomenom but we can encounter two inconveniences, namely, the complexity and the uncertainty by vagueness. In order to take vagueness into consideration, the fuzzy set theory formalized by Zadeh in 1965 intends to give a mathematical treatment to the subjective topics. Additionally, it is considered as an important tool for getting a better understanding of some real situations. This is why we are motivated to give in this paper some of the basics notions of this branch of mathematics which has been in a continuous development for the latest fifty years.

La modelación matemática busca describir de manera formal un fenómeno pero podemos encontrar dos inconvenientes, a saber, la complejidad y la incertidumbre por "ambigüedad". Para considerar la ambigüedad, la teoría de los conjuntos difusos formalizada por Zadeh en 1965 pretende dar un tratamiento matemático a los temas subjetivos. Adicionalmente, se le considera una herramienta importante para obtener un mejor entendimiento de algunas situaciones reales. Éste en el por qué se motivó a presentar, en este escrito, algunas de las nociones básicas de esta rama de las matemáticas que ha estado en continuo desarrollo durante los últimos cincuenta años.

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Cómo citar

APA

Niño Quevedo, J. R. (2017). Fuzzy sets. A way to represent ambiguity and subjetivity. Boletín de Matemáticas, 24(1), 57–89. https://revistas.unal.edu.co/index.php/bolma/article/view/66863

ACM

[1]

Niño Quevedo, J.R. 2017. Fuzzy sets. A way to represent ambiguity and subjetivity. Boletín de Matemáticas. 24, 1 (ene. 2017), 57–89.

ACS

(1)

Niño Quevedo, J. R. Fuzzy sets. A way to represent ambiguity and subjetivity. Bol. Matemáticas 2017, 24, 57-89.

ABNT

NIÑO QUEVEDO, J. R. Fuzzy sets. A way to represent ambiguity and subjetivity. Boletín de Matemáticas, [S. l.], v. 24, n. 1, p. 57–89, 2017. Disponível em: https://revistas.unal.edu.co/index.php/bolma/article/view/66863. Acesso em: 27 dic. 2025.

Chicago

Niño Quevedo, José Rubén. 2017. «Fuzzy sets. A way to represent ambiguity and subjetivity». Boletín De Matemáticas 24 (1):57-89. https://revistas.unal.edu.co/index.php/bolma/article/view/66863.

Harvard

Niño Quevedo, J. R. (2017) «Fuzzy sets. A way to represent ambiguity and subjetivity», Boletín de Matemáticas, 24(1), pp. 57–89. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/66863 (Accedido: 27 diciembre 2025).

IEEE

[1]

J. R. Niño Quevedo, «Fuzzy sets. A way to represent ambiguity and subjetivity», Bol. Matemáticas, vol. 24, n.º 1, pp. 57–89, ene. 2017.

MLA

Niño Quevedo, J. R. «Fuzzy sets. A way to represent ambiguity and subjetivity». Boletín de Matemáticas, vol. 24, n.º 1, enero de 2017, pp. 57-89, https://revistas.unal.edu.co/index.php/bolma/article/view/66863.

Turabian

Niño Quevedo, José Rubén. «Fuzzy sets. A way to represent ambiguity and subjetivity». Boletín de Matemáticas 24, no. 1 (enero 1, 2017): 57–89. Accedido diciembre 27, 2025. https://revistas.unal.edu.co/index.php/bolma/article/view/66863.

Vancouver

1.

Niño Quevedo JR. Fuzzy sets. A way to represent ambiguity and subjetivity. Bol. Matemáticas [Internet]. 1 de enero de 2017 [citado 27 de diciembre de 2025];24(1):57-89. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/66863